document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015921>Question 1015921</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jeremy baked a cake. Sue cut the cake into equal-sized pieces and took one piece. Nathan took 1/5 of the remaining pieces. Finally, Jeremy took 1/3 of the remaining pieces. If 1&#8260;2 of the cake is still remaining, how many pieces did Sue cut the cake into? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #632321 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=632321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> piece size=1/x<BR>\n" );
document.write( "cut into x pieces<BR>\n" );
document.write( "1-(1/x) after Sue<BR>\n" );
document.write( "(1-(1/x))-(1-(1/x)/5) after Nathan.<BR>\n" );
document.write( "This is (x-1)/x - [(x-1)/5] after Nathan.<BR>\n" );
document.write( "this is (4/5)(x-1)/x<BR>\n" );
document.write( "Now, 4(x-1)/5x is left<BR>\n" );
document.write( "After Jeremy takes 1/3, there is 2/3 of that left or 8(x-1)/15x left.<BR>\n" );
document.write( "That equals 1/2<BR>\n" );
document.write( "16(x-1)/15x=1<BR>\n" );
document.write( "16x-16=15x<BR>\n" );
document.write( "x=16 pieces  ANSWER<BR>\n" );
document.write( "after Sue, 15/16 is left<BR>\n" );
document.write( "Nathan took 1/5 of that so that 12/16 pieces are left<BR>\n" );
document.write( "Jeremy took 1/3 of that so now 8/16 pieces are left or half.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );